Explore: Verma Modules

Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. Verma modules can be used

using Verma modules. A representation (not necessarily finite dimensional) V of g {\displaystyle {\mathfrak {g}}} is called highest-weight module if it

mathematician after whom Verma modules are named Deepak Verma, British actor, writer and producer Deven Verma, Indian actor Dhirendra Verma, 20th-century Indian

In mathematics, generalized Verma modules are a generalization of a (true) Verma module, and are objects in the representation theory of Lie algebras

non-integer Kac indices for parametrizing the conformal dimensions of Verma modules that do not have singular vectors, for example in the critical random

1968-1993. The construction of Verma modules appears in his Ph.D. thesis as a student of Nathan Jacobson at Yale University. Verma, Daya-Nand (1968), Structure

irreducible representations are constructed as quotients of Verma modules, and Verma modules are constructed as quotients of the universal enveloping algebra

ways of constructing irreducible representations: Construction using Verma modules. This approach is purely Lie algebraic. (Generally applicable to complex

theory, a Jantzen filtration is a filtration of a Verma module of a semisimple Lie algebra, or a Weyl module of a reductive algebraic group of positive characteristic

dimensional representations of semisimple Lie algebras, given by Verma modules and simple modules. This analogy, and the work of Jens Carsten Jantzen and Anthony